带可变的分布式延时的高阶Cohen-Grossberg神经网络的动力学行为分析(英文)

Dynamics of Higher-order Cohen-Grossberg Neural Networks with Variable and Distributed Delays

对于高阶和低阶CGNN的工作前人做了很多,其中论及的网络都属于文章中讨论的高阶Cohen-Grossberg神经网络的某种特殊情况.讨论了此类网络平衡点的存在性和稳定性.引理2给出了系统(3)何时有平衡点的一个判断,定理1和定理2则讨论了不同条件下引理中平衡点的稳定性.每一个引理和定理都有简单的式子便于计算和判断.研究的带有可变的分布式延时的Cohen-Grossberg神经网络的平衡点的存在性和稳定性的结果具有普遍的意义,可以用于一大类CGNN的平衡点存在性和稳定性的判定上.

Many works have been done on higher-order and lower-oder Hopfield neural networks（e.g.CGNN）,which is one special class of higher-order CGNN.The existence and stability of equilibrium in CGNN system are discussed.Lemma 2 tell us when there exists an equilibrium for system（3）.Theorem 1 and Theorem 2 discuss about the stability of equilibrium.All the lemma and theorems have simple form.With variable and distributed delays,the result of the model can be used in a large class of CGNN.